I think this question has arisen a time or two before. From memory, the thread OD and pitch give a long-discontinued thread from the American standard threads that preceded the adoption of UNF standards. For some reason, Record copied them directly when they started making Bailey planes in the 1930s, and both Stanley and Record used those threads until quite recently.
I've just measured a 1950s (or thereabouts) Record No5, and both the long stud and small screw securing the rear handle are 0.212" OD x 20tpi. When I bought the plane, it came sans front knob stud; I remember having to set the lathe up to screwcut a new one - no currently available size of studding would fit.
Also from memory, someone in America has had a batch of suitable taps and dies made up, so Googling "Stanley Plane Tote Threads" or similar may bring up the source. Failing that, someone who actually knows the supplier's details will hopefully chip in.